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Basic category theory

Leinster, Tom, (1971-)

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Basic category theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Basic category theory/ Tom Leinster.
Author:	Leinster, Tom,
Published:	Cambridge :Cambridge University Press, : 2014.,
Description:	viii, 183 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	Categories, functors and natural transformations -- Adjoints -- Interlude on sets -- Representables -- Limits -- Adjoints, representables and limits -- Appendix: Proof of the general adjoint functor theorem.
Subject:	Categories (Mathematics) -
Online resource:	https://doi.org/10.1017/CBO9781107360068
ISBN:	9781107360068

Basic category theory
Leinster, Tom,1971-

Basic category theory[electronic resource] /Tom Leinster. - Cambridge :Cambridge University Press,2014. - viii, 183 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;143. - Cambridge studies in advanced mathematics ;143..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Categories, functors and natural transformations -- Adjoints -- Interlude on sets -- Representables -- Limits -- Adjoints, representables and limits -- Appendix: Proof of the general adjoint functor theorem.

At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in courses or for independent study. Assuming relatively little mathematical background, it is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations. Copious exercises are included.

ISBN: 9781107360068Subjects--Topical Terms:

525955
Categories (Mathematics)

LC Class. No.: QA169 / .L438 2014

Dewey Class. No.: 512.62

Basic category theory
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245 1 0 $a Basic category theory $h [electronic resource] / $c Tom Leinster.
260 $a Cambridge : $b Cambridge University Press, $c 2014.
300 $a viii, 183 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 143
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Categories, functors and natural transformations -- Adjoints -- Interlude on sets -- Representables -- Limits -- Adjoints, representables and limits -- Appendix: Proof of the general adjoint functor theorem.
520 $a At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in courses or for independent study. Assuming relatively little mathematical background, it is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations. Copious exercises are included.
650 0 $a Categories (Mathematics) $3 525955
830 0 $a Cambridge studies in advanced mathematics ; $v 143. $3 3470613
856 4 0 $u https://doi.org/10.1017/CBO9781107360068